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Finding the Fourth Proportional to 30,997.36, 42,763.16 and 18,415.28

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Solution

The fourth proportional to 30,997.36, 42,763.16 and 18,415.28 is: 25,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.36 : 42,763.16 = 18,415.28 : x
  2. Step 2: Convert to fraction form
    30,997.36/42,763.16 = 18,415.28/x
  3. Step 3: Cross multiply
    30,997.36x = 42,763.16 × 18,415.28
  4. Step 4: Simplify right side
    30,997.36x = 787,495,565.08
  5. Step 5: Solve for x
    x = 787,495,565.08/30,997.36
  6. Step 6: Final answer
    x = 25,405.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.